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Finding the Fourth Proportional to 5,145.71, 7,096.82 and 3,154.86

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Solution

The fourth proportional to 5,145.71, 7,096.82 and 3,154.86 is: 4,351.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.71 : 7,096.82 = 3,154.86 : x
  2. Step 2: Convert to fraction form
    5,145.71/7,096.82 = 3,154.86/x
  3. Step 3: Cross multiply
    5,145.71x = 7,096.82 × 3,154.86
  4. Step 4: Simplify right side
    5,145.71x = 22,389,457.77
  5. Step 5: Solve for x
    x = 22,389,457.77/5,145.71
  6. Step 6: Final answer
    x = 4,351.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.